The Triangle and its Properties - Solutions 1
CBSE Class –VII Mathematics
NCERT Solutions
Chapter 6 The Triangle and its Properties (Ex. 6.1)
NCERT Solutions
Chapter 6 The Triangle and its Properties (Ex. 6.1)
Question 1. In PQR, D is the mid-point of
is _______________
PD is ________________
Is QM = MR ?

is _______________
PD is ________________
Is QM = MR ?

Answer: Given: QD = DR
is altitude.
PD is median.
No, QM MR as D is the mid-point of QR.
Question 2. Draw rough sketches for the following:
1. In ABC, BE is a median.
2. In PQR, PQ and PR are altitudes of the triangle.
3. In XYZ, YL is an altitude in the exterior of the triangle.
2. In PQR, PQ and PR are altitudes of the triangle.
3. In XYZ, YL is an altitude in the exterior of the triangle.
Answer: (a) Here, BE is a median in and AE = EC.

(b) Here, PQ and PR are the altitudes of the PQR and RP QP.

(c) YL is an altitude in the exterior of XYZ.


(b) Here, PQ and PR are the altitudes of the PQR and RP QP.

(c) YL is an altitude in the exterior of XYZ.

Question 3. Verify by drawing a diagram if the median and altitude of a isosceles triangle can be same.
Answer: Isosceles triangle means any two sides are same.
Take and draw the median when AB = AC.
AL is the median and altitude of the given triangle.

